131001100010042 has 8 divisors (see below), whose sum is σ = 200209228317396. Its totient is φ = 64264690570912.

The previous prime is 131001100009999. The next prime is 131001100010083. The reversal of 131001100010042 is 240010001100131.

131001100010042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 130252894039921 + 748205970121 = 11412839^2 + 864989^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×131001100010042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131001100009999 and 131001100010026.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617929716923 + ... + 617929717134.

Almost surely, 2^{131001100010042} is an apocalyptic number.

131001100010042 is a deficient number, since it is larger than the sum of its proper divisors (69208128307354).

131001100010042 is a wasteful number, since it uses less digits than its factorization.

131001100010042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235859434112.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 131001100010042 its reverse (240010001100131), we get a palindrome (371011101110173).

The spelling of 131001100010042 in words is "one hundred thirty-one trillion, one billion, one hundred million, ten thousand, forty-two".